The difference between a discount of 30% on ₹2,200 and two successive discounts of 25% and 5% on the same amount is:

Correct option is D

Given:

Marked Price (MP) = ₹2200

Case 1: Single discount = 30%

Case 2: Successive discounts = 25% and 5%

We need to find the difference between the two discount amounts.

Formula Used:

Single Discount:

SP =$$\text{MP} \times \left(1 - \frac{\text{Discount \%}}{100}\right)$$​

Successive Discount Equivalent:

D = A + B $$- \frac{A \times B}{100}$$​

(where A and B are successive discounts)

Solution:

Case 1: Single 30% discount

​$$\text{SP}_1 = 2200 \times (1 - 0.30) = 2200 \times 0.70 = 1540$$​

​$$\text{Discount}_1 = 2200 - 1540 = 660$$​

Case 2: Successive 25% and 5% discounts
Effective discount = 25 + 5$$- \tfrac{25 \times 5}{100} = 30 - 1.25 = 28.75\%$$​​

​$$\text{SP}_2 = 2200 \times (1 - 0.2875) = 2200 \times 0.7125 = 1567.5$$​

​$$\text{Discount}_2$$​= 2200 - 1567.5 = 632.5

Difference:

660 - 632.5 = 27.5